integral of-4/x — step-by-step solution

Let's compute the integral:

\int(- \frac{4}{x})dx

\int(- \frac{4}{x})dx = -4 \cdot \int(\frac{1}{x})dx

We use

\int(\frac{1}{x})dx = \ln (abs (x))

. The absolute value covers both signs of the denominator, on any interval where

x!= 0

- 4 \cdot \ln (abs (x))

▶Indefinite integrals are defined up to an additive constant C, so this yields:

- 4 \cdot \ln (abs (x)) + C